Question

How do you write $ \dfrac{{12}}{8} $ as decimal?

Answer 1

Hint: In order to obtain the decimal equivalent of the above fraction. Since, we don’t have any multiple of $ 10 $ in the denominator so first convert the denominator into multiple of $ 10 $ by multiplying the numerator and denominator with such a number that gives a multiple of $ 10 $ , then simply shift the decimal point of the numerator value towards left up to places equal to the exponent value of $ 10 $ or simply divide the fraction.

Complete step-by-step answer:
We are given with a fraction $ \dfrac{{12}}{8} $ .
In our case we don’t have any multiple of $ 10 $ in the denominator so first multiply the denominator $ 8 $ with a number to get a multiple of $ 10 $ .
Since, we know that if we multiply $ 125 $ with $ 8 $ it will give $ 1000 = {10^3} $ .So multiply both the numerator and denominator by $ 125 $ and we get:
 $ \dfrac{{12 \times 125}}{{8 \times 125}} = \dfrac{{1500}}{{1000}} $
To convert any fraction into a decimal number, we try to make the denominator in the form of $ 10 $ raised to the power some $ n $ .
 $
   = \dfrac{{1500}}{{1000}} \\
   = \dfrac{{1500}}{{{{10}^3}}} \;
  $
Now shift the decimal point of the numerator up to places equal tox the exponent value of $ 10 $ i.e. $ 3 $ towards left side
 $ = \dfrac{{1500}}{{{{10}^3}}} = 1.5 $
Therefore, the decimal equivalent of the fraction $ \dfrac{{12}}{8} $ is equal to $ 1.5 $ .
So, the correct answer is “1.5”.

Note: 1. Cross-cross your result at least once.
2. To calculate fraction from the percentage, divide the given percentage value by 100
For example: We have to write $ 70\% $ into fraction
 $
   = \dfrac{{70}}{{100}} \\
   = \dfrac{7}{{10}} \;
  $
Or
 $ = 0.7 $
3. If the denominator of the fraction is not possible to make in the form of 10 raised to the power some $ n $ , then simply divide the fraction by long division to obtain the result.